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- Title
Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation.
- Authors
Kalyakin, L. A.; Bagderina, Yu. Yu.
- Abstract
We consider a system of six nonlinear differential equations obtained by averaging fast forced oscillations. The main result consist in the construction of the asymptotics at infinity for the general solution with bounded amplitudes. We show that the structure of asymptotic series depends on the parameters so that the coefficients of the series vary in jumps on the resonance set.
- Subjects
DIFFERENTIAL equations; ASYMPTOTIC theory of algebraic ideals; NONLINEAR difference equations; DIFFERENCE equations; NONLINEAR differential equations; BESSEL functions
- Publication
Mathematical Notes, 2005, Vol 78, Issue 1/2, p76
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0101-4